225929764128 has 96 divisors (see below), whose sum is σ = 605159976960. Its totient is φ = 73788698880.

The previous prime is 225929764127. The next prime is 225929764147. The reversal of 225929764128 is 821467929522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (225929764127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879801 + ... + 1107207.

It is an arithmetic number, because the mean of its divisors is an integer number (6303749760).

Almost surely, 2^225929764128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225929764128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302579988480).

225929764128 is an abundant number, since it is smaller than the sum of its proper divisors (379230212832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225929764128 is a wasteful number, since it uses less digits than its factorization.

225929764128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227630 (or 227622 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 225929764128 in words is "two hundred twenty-five billion, nine hundred twenty-nine million, seven hundred sixty-four thousand, one hundred twenty-eight".